· web view2016/08/16 · chapter 16.2, part 1: solving quadratic functions by...
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Chapter 16.2, part 1: Solving Quadratic Functions by Square Roots (Imaginary #s)
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Solving Quadratic Equations by SQUARE ROOTS
*Square Root Property – To solve a quadratic equation, you can take the square root of both sides.*Don’t forget to consider the positive and negative square roots!
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*Imaginary #'s are also referred to as complex numbers!
Completing the Square on the next page.
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Chapter 16.2, part 2: Solving Quadratic Functions by
Completing the Square
Visual Method of Completing the Square:
How many 1-by-1 tiles will it take to
complete the square?
How many 1-by-1 tiles will it take to
complete the square?
How many 1-by-1 tiles will it take to
complete the square?
Below, we will answer different questions about the figures. We will also
represent the area of each figure with an
expression.
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So, not only are we physically completing a square, we are also
completing a perfect square trinomial.
Because of the statement to the left, we can complete the square with any expression: x2 + bx.
We can do this by dividing b by 2, then squaring the number, this value becomes c.
Complete the square below:
We can compare the number of rectangular
tiles with the 1-by-1 tiles to discover a pattern.
The number a rectangular tiles in each figure corresponds to the coefficient of x, while the
number of 1-by-1 tiles corresponds to the constant.
The number a rectangular tiles in each figure corresponds to the coefficient of x, while the
number of 1-by-1 tiles corresponds to the constant.
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